COMMUNICATIONS IN ALGEBRA, vol.39, no.7, pp.2489-2497, 2011 (SCI-Expanded)
Article / Article
COMMUNICATIONS IN ALGEBRA
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Locally graded groups, Minimal non-Baer-groups, Minimal non-nilpotent-groups, PROPER SUBGROUPS, P-GROUPS, NILPOTENT
Gazi University Affiliated:
In this note we extend some results obtained by Xu  on soluble minimal non-Baer-groups to locally graded minimal non-Baer-groups. In particular, we prove that if G is an infinite locally graded minimal non-Baer-group, then G is a countable non-perfect locally nilpotent p-group for some prime p. Moreover, if G', the derived subgroup of G, is non-perfect, then for all integers n >= 2, G/gamma(n)(G') is a minimal non-nilpotent-group having a maximal subgroup.